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105030750 = 23531129439
BaseRepresentation
bin1100100001010…
…10010001011110
321022122010002210
412100222101132
5203341441000
614231101250
72413514046
oct620522136
9238563083
10105030750
1154318180
122b211826
13189b5596
14dd40726
15934a350
hex642a45e

105030750 has 128 divisors (see below), whose sum is σ = 296524800. Its totient is φ = 24528000.

The previous prime is 105030749. The next prime is 105030767. The reversal of 105030750 is 57030501.

It is a happy number.

It is a super-2 number, since 2×1050307502 = 22062916891125000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239031 + ... + 239469.

It is an arithmetic number, because the mean of its divisors is an integer number (2316600).

Almost surely, 2105030750 is an apocalyptic number.

105030750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105030750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148262400).

105030750 is an abundant number, since it is smaller than the sum of its proper divisors (191494050).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105030750 is a wasteful number, since it uses less digits than its factorization.

105030750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 105030750 is about 10248.4511024837. The cubic root of 105030750 is about 471.8154472160.

Adding to 105030750 its sum of digits (21), we get a triangular number (105030771 = T14493).

The spelling of 105030750 in words is "one hundred five million, thirty thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 29 30 33 50 55 58 66 75 87 110 125 145 150 165 174 250 275 290 319 330 375 435 439 550 638 725 750 825 870 878 957 1317 1375 1450 1595 1650 1914 2175 2195 2634 2750 3190 3625 4125 4350 4390 4785 4829 6585 7250 7975 8250 9570 9658 10875 10975 12731 13170 14487 15950 21750 21950 23925 24145 25462 28974 32925 38193 39875 47850 48290 54875 63655 65850 72435 76386 79750 109750 119625 120725 127310 140041 144870 164625 190965 239250 241450 280082 318275 329250 362175 381930 420123 603625 636550 700205 724350 840246 954825 1207250 1400410 1591375 1810875 1909650 2100615 3182750 3501025 3621750 4201230 4774125 7002050 9548250 10503075 17505125 21006150 35010250 52515375 105030750